{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei'] \n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.rcParams['figure.figsize'] = (8.0, 6.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 产生新画布\n",
    "fig = plt.figure()\n",
    "# 获取当前画布\n",
    "figa = plt.gca()\n",
    "\n",
    "# 产生100个点\n",
    "N = 100\n",
    "xn = np.random.rand(N, 2)\n",
    "# shift + tab 查看函数定义\n",
    "x = np.linspace(0, 1, num=50)\n",
    "\n",
    "# 随机产生一条线\n",
    "a = 0.8\n",
    "b = 0.1\n",
    "f = lambda x : a*x + b \n",
    "plt.plot(x, f(x), 'r')\n",
    "\n",
    "# 线性分割前面产生的点\n",
    "yn = np.zeros([N, 1])\n",
    "\n",
    "for i in range(N):\n",
    "    if f(xn[i, 0]) >= xn[i, 1]:\n",
    "        # point is below line\n",
    "        yn[i] = 1\n",
    "        plt.plot(xn[i ,0], xn[i ,1], 'bo', markersize=12)\n",
    "    else:\n",
    "        # point is above line\n",
    "        yn[i] = -1\n",
    "        plt.plot(xn[i ,0], xn[i ,1], 'go', markersize=12)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8 0.1\n",
      "[0.78867967] [0.12956951]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '原始曲线与感知机预测结果比较')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def perception(xn, yn):\n",
    "    alpha = 0.1\n",
    "    N = xn.shape[0]\n",
    "    w = np.random.randn(3, 1)\n",
    "    f = lambda x : np.sign(w[1]*x[0] + w[2]*x[1] + w[0])\n",
    "    # The sign function returns -1 if x < 0,  0 if x==0,  1 if x > 0\n",
    "    for _ in range(50000):\n",
    "        i = np.random.randint(N)\n",
    "        if yn[i] != f(xn[i,:]):\n",
    "            # xn[0,:], xn的第一行的数据\n",
    "            w[0] = w[0] + alpha * yn[i] * 1       \n",
    "            w[1] = w[1] + alpha * yn[i] * xn[i, 0]\n",
    "            w[2] = w[2] + alpha * yn[i] * xn[i, 1]\n",
    "    return w\n",
    "\n",
    "w = perception(xn, yn)\n",
    "predict_a = - w[1] / w[2]\n",
    "predict_b = - w[0] / w[2]\n",
    "\n",
    "y = lambda x : predict_a * x + predict_b\n",
    "\n",
    "# 分割颜色\n",
    "sep_color = yn / 2.0\n",
    "\n",
    "print(a, b)\n",
    "print(predict_a, predict_b)\n",
    "plt.figure()\n",
    "figa = plt.gca()\n",
    "plt.scatter(xn[:, 0], xn[:, 1], c=sep_color.flatten(), s=50)\n",
    "plt.plot(x, y(x), 'b--', label='感知机分类结果')\n",
    "plt.plot(x, f(x), 'r', label='原始分类曲线')\n",
    "plt.legend()\n",
    "plt.title('原始曲线与感知机预测结果比较')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
